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Finding the Fourth Proportional to 13,175.80, 19,763.70 and 10,583.80

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Solution

The fourth proportional to 13,175.80, 19,763.70 and 10,583.80 is: 15,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.80 : 19,763.70 = 10,583.80 : x
  2. Step 2: Convert to fraction form
    13,175.80/19,763.70 = 10,583.80/x
  3. Step 3: Cross multiply
    13,175.80x = 19,763.70 × 10,583.80
  4. Step 4: Simplify right side
    13,175.80x = 209,175,048.06
  5. Step 5: Solve for x
    x = 209,175,048.06/13,175.80
  6. Step 6: Final answer
    x = 15,875.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.